4.5CH4 Electricity and Magnetism
Electromagnetic Effects — Cambridge O Level Physics 5054 Revision Notes & Topical Questions
10 min read 14 parts Lesson 5 of 6
Part 1 of 12Magnetic effect of a current
- Oersted's discovery
- a current in a wire produces a magnetic field around it.
- Straight wire
- the field lines form concentric circles around the wire.
- The field is stronger close to the wire and weaker with distance, so the circles are closer together near the wire.
- Right-hand grip rule
- point the thumb along the conventional current and the curled fingers show the field direction.
- Reversing the current
- it reverses the direction of the field.
- Flat coil and solenoid
- a solenoid is a long coil whose field looks like that of a bar magnet.
- Inside the solenoid the field is strong and uniform, and the end where field lines emerge is the north pole.
- Strengthening an electromagnet
- increase the current, add more turns of wire, or put a soft iron core inside the coil.
- Reversing the current reverses the poles, and switching off removes the magnetism.
- Uses of electromagnets
- scrapyard lifting, electric bells, relays, circuit breakers and loudspeakers.
Part 2 of 12Force on a current-carrying conductor
- Motor effect
- a wire carrying a current in a magnetic field experiences a force.
- The magnetic field of the wire interacts with the field of the magnet.
- Fleming's left-hand rule
- hold the thumb, first finger and second finger at right angles.
| Finger | Represents |
|---|---|
| First finger | Field direction (north to south) |
| Second finger | Current direction (conventional) |
| Thumb | Force (motion) |
- Reversing
- reversing either the current or the field reverses the force, and reversing both leaves it unchanged.
- Size of the force
- it increases with a stronger magnet, larger current and a longer wire in the field.
- There is no force if the wire is parallel to the field.
- Demonstration
- a wire swings between the poles of a horseshoe magnet when a current is switched on.
- Beams of charged particles
- a moving charge in a magnetic field also feels a force, which bends the path of electrons in a cathode-ray tube.
Part 3 of 12The d.c. motor
- Motor
- a device that converts electrical energy into kinetic energy using the force on a current in a field.
- Parts
- a rectangular coil, permanent magnets, a split-ring commutator and carbon brushes.
- Operation
- follow the cycle of events.
- Current flows through the coil from the brushes via the commutator.
- The two sides of the coil carry current in opposite directions in the field, so one side is pushed up and the other down.
- The forces make the coil rotate.
- At the vertical position the commutator reverses the current in the coil.
- The forces keep turning the coil in the same direction.
- Increasing the speed or turning force
- use a stronger magnet, more turns, a larger current or a soft iron core.
- Reversing the direction
- reverse the current or reverse the magnetic field.
- Loudspeaker
- a coil attached to a cone sits in a magnetic field, and the a.c. signal moves the coil and cone back and forth to produce sound.
Part 4 of 12Electromagnetic induction
- Induction
- an e.m.f. is induced in a conductor when it cuts magnetic field lines, or when the magnetic field through a coil changes.
- Ways to induce an e.m.f.
- move a magnet in or out of a coil, move a wire across a field, or change the current in a nearby coil.
- No e.m.f. is induced when there is no relative movement.
- Factors that increase the induced e.m.f.
- move faster, use a stronger magnet, or use more turns in the coil.
- Direction
- reversing the movement or the polarity of the magnet reverses the direction of the induced e.m.f.
- Lenz's law
- the induced current flows in a direction so that its magnetic effect opposes the change that produced it.
- This is an example of conservation of energy, because work must be done to push the magnet in.
- Demonstration
- connect a sensitive meter to a coil, push a magnet in and the needle deflects one way, pull it out and it deflects the other way.
Part 5 of 12The a.c. generator
- Generator
- a device that converts kinetic energy into electrical energy by rotating a coil in a magnetic field.
- Parts
- a coil, magnets, slip rings and brushes.
- Slip rings keep the coil connected to the external circuit while it rotates, so the output is alternating.
- Output
- the e.m.f. is zero when the coil sides move parallel to the field and maximum when they cut it at right angles.
- Graph
- the output is a sine-shaped wave of alternating voltage with a period equal to one rotation.
- Increasing the output
- spin the coil faster, use stronger magnets or more turns, or use a larger coil area.
- Faster rotation increases both the size and the frequency of the output.
- Power stations
- turbines turn large coils of generators, and the a.c. produced is sent to the grid.
Part 6 of 12Transformers
- Transformer
- a device that changes the size of an alternating voltage, using two coils wound on a soft iron core.
- Operation
- an alternating current in the primary coil produces a changing magnetic field in the core.
- The changing field induces an alternating e.m.f. in the secondary coil.
- Transformer equation
- Vp ÷ Vs = Np ÷ Ns.What the symbols mean: V = voltage (V) · N = number of turns · I = current (A) · p = primary coil · s = secondary coil
- Step-up transformers have more turns on the secondary coil, and step-down transformers have fewer.
- Vp ÷ Vs = Np ÷ Ns.
- Ideal transformer
- it is 100% efficient, so power in equals power out: IpVp = IsVs.
- When the voltage is stepped up the current is stepped down.
- Only works with a.c.
- a steady d.c. gives no changing field, so no voltage is induced.
- Energy losses
- heating in the coils, eddy currents in the core (reduced by laminating it) and magnetic leakage.
- (reduced by thick wire)
- heating in the coils, eddy currents in the core (reduced by laminating it) and magnetic leakage.
Part 7 of 12Power transmission
- Why transmit at high voltage
- for a given power, a higher voltage means a lower current (I = P ÷ V).
- The heating loss in the cables is I2R, so a small current greatly reduces wasted energy.
- Grid system
- a step-up transformer at the power station raises the voltage to over 100 kV, and step-down transformers near homes lower it to 230 V.
- Advantages of a.c.
- it can be stepped up and down easily with transformers.
- Safety
- overhead lines are held on tall pylons and insulators to keep the high voltage away from people.
Part 8 of 12Demonstrating induction and Lenz's law
- Experiment for induction
- use a coil and a centre-zero galvanometer.
- Connect a coil of many turns to a sensitive centre-zero meter.
- Push the north pole of a bar magnet into the coil and watch the needle flick.
- Hold the magnet still inside the coil and the needle returns to zero.
- Pull the magnet out and the needle flicks the opposite way.
- Repeat faster, or with more turns, and the flick is bigger.
- What changes the e.m.f.
- the rate of change of the field, or the rate at which field lines are cut, and the number of turns in the coil.
- Demonstrating Lenz's law
- drop a magnet through a copper or aluminium tube, which falls slowly.
- The induced currents in the tube produce a field that opposes the magnet's motion,
- so the magnet falls more slowly than it would through a plastic tube.
- Direction rule
- pushing a north pole into a coil induces a north pole at that end of the coil, which repels the magnet.
Part 9 of 12The a.c. generator in detail
- Rotating coil form
- the coil turns between fixed magnets and is connected to the outside circuit by slip rings and brushes.
- Rotating magnet form
- a magnet turns inside fixed coils, so no slip rings are needed because the coils stay still.
- E.m.f. against time
- the output is a repeating wave.
| Position of the coil | E.m.f. |
|---|---|
| Coil vertical, sides moving along the field | Zero |
| Coil horizontal, sides cutting field lines at right angles | Maximum (peak or trough) |
| Coil vertical again after half a turn | Zero, with the opposite sign to follow |
- Interpreting the graph
- the time for one full wave is one rotation, so faster rotation shortens the period and raises both the frequency and the peak e.m.f.
Part 10 of 12Relays and loudspeakers
- Relay
- a small current in a coil magnetises an iron core, which pulls an armature that closes contacts in a separate circuit.
- It lets a small, safe low-voltage circuit switch a large current or a mains circuit, as in car starter motors and heating controls.
- Loudspeaker
- a coil attached to a paper cone sits in the field of a permanent magnet.
- The varying current from an amplifier flows through the coil.
- The force on the coil changes direction with the current.
- The coil and cone move back and forth with the same frequency as the signal.
- The cone pushes the air to make a sound wave.
Part 11 of 12Forces between parallel currents
- Field around a wire
- each wire has circular magnetic field lines around it.
- Currents in the same direction
- the fields between the wires partly cancel and the wires are pulled toward each other.
- Currents in opposite directions
- the fields between the wires reinforce and the wires are pushed apart.
- Link to the motor effect
- each wire is a current in the field of the other wire, so each feels a force given by Fleming's left-hand rule.
- The forces on the two wires are equal in size and opposite in direction, as Newton's third law requires.
Part 12 of 12Worked examples
A transformer has 400 turns on the primary coil and 100 turns on the secondary coil. The primary voltage is 240 V. Find the secondary voltage. [3]3 marks
- Vs = Vp × Ns ÷ Np = 240 × 100 ÷ 400.
- Vs = 60 V.
- It is a step-down transformer.
Assume an ideal step-down transformer that reduces 230 V to 12 V and supplies a 24 W lamp. Find the secondary and primary currents. [4]4 marks
- Secondary current Is = P ÷ V = 24 ÷ 12 = 2.0 A.
- For an ideal transformer, power in = power out = 24 W.
- Primary current Ip = 24 ÷ 230 = 0.104 A.
Power of 2.0 MW is sent through cables of resistance 5.0 Ω at 20 kV. Find the power lost in the cables. [4]4 marks
- Current I = P ÷ V = 2.0 × 106 ÷ 20 000 = 100 A.
- Power loss = I2R = 1002 × 5.0 = 50 000 W.
- Loss = 50 kW, which is 2.5% of the power sent.
State three ways to increase the induced e.m.f. when a magnet is pushed into a coil. [3]3 marks
- Move the magnet faster.
- Use a stronger magnet.
- Use a coil with more turns.
A current flows upward in a wire in a field pointing from left to right. Use Fleming's left-hand rule to state the force direction, where the page is viewed with the field in the plane of the page. [2]2 marks
- The first finger points right and the second finger points up.
- The thumb then points into the page, away from the viewer.
A coil has its magnet pushed in slowly and then pushed in four times as fast. State how the induced e.m.f. changes and why. [2]2 marks
- The induced e.m.f. is larger when the magnet is pushed faster.
- The field lines are cut at a greater rate, so the e.m.f. increases.
Two long parallel wires carry currents in the same direction. State whether the wires attract or repel and name the rule used. [2]2 marks
- They attract each other.
- Each wire is in the field of the other, and Fleming's left-hand rule gives forces toward each other.
Key terms
| Term | Meaning |
|---|---|
| Electromagnetic induction | The creation of an e.m.f. when a conductor cuts magnetic field lines or the field changes. |
| Lenz's law | The induced current opposes the change that produces it. |
| Solenoid | A long coil of wire that produces a field like a bar magnet. |
| Commutator | A split ring that reverses the current in a motor coil every half turn. |
| Slip ring | A continuous ring that connects a rotating coil to the external circuit in an a.c. generator. |
| Transformer | A device with two coils on an iron core that changes alternating voltage. |
| Step-up transformer | A transformer with more turns on the secondary coil, giving a higher voltage. |
| Motor effect | The force on a current-carrying conductor in a magnetic field. |
Avoid these mistakes
- Using a transformer with d.c. — it needs a changing current to induce a voltage.
- Confusing left-hand and right-hand rules — Fleming's left-hand rule is for motors.
- Saying a transformer creates energy — a step-up transformer lowers the current, so power does not increase.
- Forgetting slip rings give a.c. and a split-ring commutator gives d.c. output direction.
- Saying a stationary magnet in a coil induces a current — there must be relative motion or a changing field.
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